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Simplifying -0.7x + 6.74 = -0.5x + 0.34 Reorder the terms: 6.74 + -0.7x = -0.5x + 0.34 Reorder the terms: 6.74 + -0.7x = 0.34 + -0.5x Solving 6.74 + -0.7x = 0.34 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 6.74 + -0.7x + 0.5x = 0.34 + -0.5x + 0.5x Combine like terms: -0.7x + 0.5x = -0.2x 6.74 + -0.2x = 0.34 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 6.74 + -0.2x = 0.34 + 0.0 6.74 + -0.2x = 0.34 Add '-6.74' to each side of the equation. 6.74 + -6.74 + -0.2x = 0.34 + -6.74 Combine like terms: 6.74 + -6.74 = 0.00 0.00 + -0.2x = 0.34 + -6.74 -0.2x = 0.34 + -6.74 Combine like terms: 0.34 + -6.74 = -6.4 -0.2x = -6.4 Divide each side by '-0.2'. x = 32 Simplifying x = 32
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